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 Answered
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Question 1 of 65
1. Question
If a vector has components v_{x} = 1, v_{y} = 2, v_{z} = 3, then its magnitude is ______. (write answer with two decimal places)
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NAT Type Question

Question 2 of 65
2. Question
The value of is _____.
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NAT Type Question

Question 3 of 65
3. Question
If is to be solved using the conditions y(0) = and y(1) = b, which of the following numerical method(s) can be used?
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Question 4 of 65
4. Question
The numerical method used to find the root of a nonlinear algebraic equation, that converges quadratically, is :
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Question 5 of 65
5. Question
Which one of the following curves shows a typical behavior of the producing gas oil ratio (GOR) with time for a reservoir under solution gas drive?
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Question 6 of 65
6. Question
A student has written following possible causes of lost circulation during a drilling operation.
i. High salinity in the reservoir
ii. Fracture in the reservoir
iii. A fault encountered during drilling
iv. Low viscosity of the reservoir fluid
Which of the above statements are correct?
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Question 7 of 65
7. Question
For water depth less than 8 m, which one of the following drilling vessels is the most suitable and economical?
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Question 8 of 65
8. Question
Which one of the following statements is correct for pseudosteady state condition in a confined reservoir?
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Question 9 of 65
9. Question
The roots of the equation are :
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Question 10 of 65
10. Question
The °API of a crude oil density 950 kg/m^{3} is ______.(write answer with two decimal places)
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NAT Type Question

Question 11 of 65
11. Question
The differential equation 2xydx + (1 + x^{2})dy = 0, in which x is an independent variable and y is the dependent variable, is :
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Question 12 of 65
12. Question
For the two marices , the product YX will be:
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Question 13 of 65
13. Question
As per the Bharat IV norms, the maximum permissible limit of sulfur in diesel in ppm is :
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Question 14 of 65
14. Question
The amount of methane gas evolved at 0℃ and 1 atm from the dissociation of 1 m^{3} of methane gas hydrate, is approximately:
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Question 15 of 65
15. Question
For a centrifugal pump, the head developed by the pump is proportional to the :
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Question 16 of 65
16. Question
Which of these is a must for petroleum generation and accumulation?
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Question 17 of 65
17. Question
The problem of viscous fingering is encountered when:
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Question 18 of 65
18. Question
Which of these is NOT a sedimentary rock?
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Question 19 of 65
19. Question
The unbiased sample variance for the set of numbers: S={40, 45, 50, 55, 60} is ______.(write answer with one decimal place
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NAT Type Question

Question 20 of 65
20. Question
If 5x + 2iy – ix + 7y = 2 + 3i, where the values of two real numbers (x, y) are, respectively:
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Question 21 of 65
21. Question
Pick the INCORRECT inequality, where z_{1}, z_{2} and z_{3} are complex numbers.
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Question 22 of 65
22. Question
Which of the following is NOT true?
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Question 23 of 65
23. Question
Which of the following is a potential environmental threat due to the cementplug deterioration in an abandoned oil well?
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Question 24 of 65
24. Question
_______ is a mode of flame propagation in a premixed gas, and drives a leading shock front into the quiescent, unburnt gas at supersonic velocity, immediately followed by a combustion zone.
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Question 25 of 65
25. Question
BioGa(BG), Coal Bed Methane (CBM) and Methane Gas Hydrate (MGH), if arranged in the order of increasing methane content, the correct order is :
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Question 26 of 65
26. Question
For a velocity field given by calculate the curl of If the calculated vector is , then the value of c is _______
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NAT Type Question

Question 27 of 65
27. Question
Single step integration (step size = 0.5) of evaluated numerically using the Simpson’s 1/3 rule, is _______(write answer with three decimal places)
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NAT Type Question

Question 28 of 65
28. Question
Solve numerically from x = 0 to 1 using explicit, forward, first order Euler method with initial condition of y(0) = 1 and step size (h) of 0.2. The absolute value of error in y(1) calculated using analytical and numerical solution is _____% (calculate the error using analytical solution as the basis and use three decimal places)
CorrectIncorrectHint
NAT Type Question

Question 29 of 65
29. Question
Relative permeability curves are shown in the following figure for a wateroil system in a porous medium. S_{w} is water saturation and k_{r} is relative permeability. Curve 1 is relative permeability of water and Curve 2 is relative permeability of oil. Assuming the porous medium is at irreducible water saturation initially, the maximum possible recovery of oil by water flooding is _____%. (write answer with one decimal place)
CorrectIncorrectHint
NAT Type Question

Question 30 of 65
30. Question
An oil reservoir of 1000 m^{2} area and thickness of 10 m has a porosity of 30%. The connate water saturation is 20%. Initial formation volume factor Assuming average oil flow rate of 2 m^{3}/day (at surface condition), the life of reservoir is _____ days.
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NAT Type Question

Question 31 of 65
31. Question
A selfflowing production well of depth 3,000 m having oil with density 850 kg/m^{3} is shutin for workover job. The shutin pressure at the surface is 70 × 10^{5} N/m^{2}. The density of the mud required to kill the well will be _____kg/m^{3}. (G = 9.81 m/s^{2}, write answer with one decimal place)
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NAT Type Question

Question 32 of 65
32. Question
In a directional well, the kick off point has a true vertical depth (TVD) of 1000 m and the end of buildup section has a TVD of 1200 m. The buildup section for directional drilling has a horizontal displacement of 200 m, after which the tangent section has inclination of 45°. A driller monitors the well from the surface location of the well and sees that the target has horizontal departure of 1000 m. The T VD of the deepest point of the well is _____meters.
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NAT Type Question

Question 33 of 65
33. Question
The figure below shows the pressure measured in a well at different depths. AB is cap, B is gas oil contact and C is wateroil contact. Density of gas in gas cap is 2 kg/m^{3}, oil density is 800 kg/m^{3} and water density is 1000 kg/m^{3}. The difference between pressure at point D and point B (P_{D} – P_{B}) is _____× 10^{5} N/m^{2}. (use g = 9.81 m/s^{2}, write answer with one decimal place)
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NAT Type Question

Question 34 of 65
34. Question
A laboratory airbrine capillary pressure of 1.20 × 10^{5} N/m^{2} has been measured in a reservoir core sample at residual water saturation. The airbrine surface tension is 0.070 N/m, and the brineoil interfacial tension for the reservoir fluid is 0.025 N/m. The density values of brine and oil are 1080 kg/m^{3} and 780 kg/m^{3}, respectively. Take g = 9.81 m/s^{2}, and assume identical wetting preferences for the core sample and reservoir. The height of the wateroil transition zone (up to the point of reservoir where connate water saturation is reached) from the free water level is ____meters. (write answer with two decimal places)
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NAT Type Question

Question 35 of 65
35. Question
The eigenvalues for the matrix are :
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Question 36 of 65
36. Question
The temperature time profile for a system is given as follows: where T is temperature in ℃, and t is time in hours. The initial conditions are T(0) = 500℃. The temperature of the system after 1 hour is _____℃. (write answer with two decimal places)
CorrectIncorrectHint
NAT Type Question

Question 37 of 65
37. Question
A porous medium is blended with three types of sediment fractions, fine pebble gravel with porosity (ϕ_{pebble} = 38%), sand (ϕ_{sand} = 32%) and fine sand(ϕ_{fine_sand} = 30%). The three sediments are mixed in such proportions that the sand fills the pore volume of fine pebbles completely, and the fine sand fills the pore volume of sand completely. The total porosity of such an irregular system is ______%. (write answer with two decimal places)
CorrectIncorrectHint
NAT Type Question

Question 38 of 65
38. Question
Match the following
(P) Sandstone (I) Clastic rocks
(Q) Limestone (II) Noncalstic rocks
(R) Shale
(S) Gypsum
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Question 39 of 65
39. Question
Oil of density 900 lg/m^{3} is flowing at 100 m^{3}/day through a horizontal pipeline having a diameter reduction from 0.1 m to 0.05 m as shown in the following figure. The kinetic energy pressure drop (P_{1} – P_{2}) caused by the diameter change is _____N/m^{2}. (Assume frictional losses to e negligible, write answer with one decimal place)
CorrectIncorrectHint
NAT Type Question

Question 40 of 65
40. Question
Match the following EOR techniques and the principle behind them:
(P) Surfactant flooding
(Q) Polymer flooding
(R) Steam flooding
(S) Sea water flooding
(I) Lower the viscosity of the oil phase
(II) Increase the viscosity of the aqueous phase
(III) Lower the oilwater interfacial tension
(IV) Influence the wettability of the rock
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Question 41 of 65
41. Question
The viscosity – shear rate curve for a fluid is shown in the following plot. Which one of the following options best describes the behavior of the fluid in the regions I, II, and III, respectively?
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Question 42 of 65
42. Question
The value of constant a for which : is a valid probability density function, is (given, a ≥ 0):
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Question 43 of 65
43. Question
, where , would simplify to:
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Question 44 of 65
44. Question
A well of radius 0.25 m is drilled. Mud invasion in the formation caused a skin radius of 2 m and reduced the permeability of the damaged zone to 30 mD. Well test revealed that the skin factor of the damaged zone is 2.3. The permeability of the unaffected formation will be ______mD. (write answer the one decimal place)
CorrectIncorrectHint
NAT Type Question

Question 45 of 65
45. Question
The average reservoir pressure and fracture gradient of petroleum formation at a depth of 4,000 m are 30,000 kN/m^{2} and 16(kN/m^{2})/m, respectively. The density of the formation is 2290 kg/m^{3}. If the reservoir pressure declines to 20,000 kN/m^{2} after a few years of production, the fracture gradient of the formation is ____(kN/m^{2})/m. (write answer with one decimal place)
CorrectIncorrectHint
NAT Type Question

Question 46 of 65
46. Question
Match the following:
(P) Gamma ray log (I) Water saturation
(Q) Resistivity log (II) Acoustic waves
(R) Cement bond log (III) Permeability
(S) NMR log (IV) Lithology
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Question 47 of 65
47. Question
The sonic log travel time in a loosely consolidated formation is 260 μs/m. The matrix and fluid travel times are 130 μs/m and 618 μs/m, respectively. A correction factor of 1.0 may be used in a Wyllie time average equation for simplification. The calculated formation porosity using the Wyllie time average equation is _____%. (write answer with two decimal places)
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NAT Type Question

Question 48 of 65
48. Question
An oil emulsion having 15% water cut by weight is being treated in a horizontal heatertreater unit at the rate of 6000 kg/hr. The inlet temperature of the emulsion is 30℃ and operating temperature of the heatertreater is 40℃. The specific heat capacity of water and oil are 1 kcal/kg℃ and 0.5 kcal/kg℃, respectively. Assuming 10% of the total heat input is lost to the surroundings, the total heat energy required to break the emulsion in the heatertreater unit is ______kcal/hr. (write answer with one decimal place)
CorrectIncorrectHint
NAT Type Question

Question 49 of 65
49. Question
An oil well has a flowing bottom hole pressure of 3000 psi and the reservoir has an average pressure of 3250 psi. A pressure buildup test reveals that the slope of the straight line portion of Horner’s plot is 38.5 psi/cycle and skin factor of the well is 3. The flow efficiency of this well is _____. (write answer with two decimal places)
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NAT Type Question

Question 50 of 65
50. Question
A pressure charged, casing pressure operated gas lift valve is installed at a depth of 200 m and the bellow pressure of this valve is 50 × 10^{5} N/m^{2} under operating conditions. The tubing pressure is 30 × 10^{5} N/m^{2} at the valve depth. The area of the bellow and the port are 6 and 0.6 cm^{2}, respectively. The opening pressure of the gas lift valve under operating conditions is ______× 10^{5} N/m^{2}. (Write answer with one decimal place)
CorrectIncorrectHint
NAT Type Question

Question 51 of 65
51. Question
Match the following:
(P) Coal bed methane
(Q) Tight gas
(R) Gas hydrate
(S) Associated gas
(I) Requires natural or artificial fractures
(II) Exists in solid phase
(III) Gas absorbed on surface in micropores
(IV) Dissolved in crude oil
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Question 52 of 65
52. Question
Match the following in the context of treatment of oil spills:
(P) Boom
(Q) Absorbent
(R) Skimmer
(S) Biostimulation
(I) Use of chemical fertilizers to enhance the rate of oil degradation by microbes
(II) Mechanized equipment for removing floating oil from water surface
(III) Floating physical barrier to divert oil to a recovery area
(IV) Oleophilic material to attract oil, which can be removed subsequently
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Question 53 of 65
53. Question
Match the following:
(P) Aquifer
(Q) Aquitard
(R) Aquicludes
(I) Slows down the movement of water and not good for water (or CO_{2}) injection
(II) Evaporite rocks, such as halide or anhydrite, retarding upward movement of water/CO_{2}
(III) Prefrentially stores CO_{2} but not water
(IV) Rocks with sufficient permeability to conduct water, into which water (or CO_{2}) may be injected
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Question 54 of 65
54. Question
Synthetic Aperture Radar (SAR), used for oil spill monitoring and detection, is based on the:
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Question 55 of 65
55. Question
The adjacent figure shows the phase diagram of free methane gas and methane hydrate for a pure water and pure methane system. Match the zone marked (I), (II), (III) and (IV) with different states of phases listed below.
(P) Methane hydrate + water + gas
(Q) Methane gas + water
(R) Methane gas + ice
(S) Methane hydrae + ice + gas
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Question 56 of 65
56. Question
The ninth and the tenth of this month are Monday and Tuesday _______.
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Question 57 of 65
57. Question
It is _______ to read this year’s textbook ______ the last year’s
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Question 58 of 65
58. Question
A rule states that in order to drink beer, one must be over 18 years old. In a bar, there are 4 people. P is 16 years old, Q is 25 years old, R is drinking milkshake and S is drinking a beer. What must be checked to ensure that the rule is being followed?
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Question 59 of 65
59. Question
Fatima starts from point P, goes North for 3 km, and then East for 4 km to reach point Q. She then turns to face point P and goes 15 km in that direction. She then goes North for 6 km. How far is she from point P, and in which direction should she go to reach point P?
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Question 60 of 65
60. Question
500 students are taking one or more courses out of Chemistry, Physics and Mathematics. Registration records indicate course enrolment as follows: Chemistry (329), Physics (186), Mathematics (295), Chemistry and Physics (83), Chemistry and Mathematics (217), and Physics and Mathematics (63). How many students are taking all 3 subjects?
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Question 61 of 65
61. Question
“If you are looking for a history of India, or for an account of the rise and fall of the British Raj, or for the reason of the cleaving of the subcontinent into two mutually antagonistic parts and the effects this mutilation will have in the respective sections, and ultimately on Asia, you will not find it in these pages; for though I have spent a lifetime in the country. I lived too near the seat of events, and was too intimately associated with the actors, to get the perspective needed for the impartial recording of these matters.”
Which of the following statements best reflects the author’s opinion?
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Question 62 of 65
62. Question
Each of P, Q, R, S, W, X, Y and Z has been married at most once. X and Y are married and have two children P and Q. Z is the grandfather of the daughter S of P. Further, Z and W are married and are parents of R. Which one of the following must necessarily be FALSE?
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Question 63 of 65
63. Question
1200 men and 500 women can build a bridge in 2 weeks. 900 men and 250 women will take 3 weeks to build the same bridge. How many men will be needed to build the bridge in one week?
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Question 64 of 65
64. Question
The number of 3digit numbers such that the digit 1 is never to the immediate right of 2 is
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Question 65 of 65
65. Question
A contour line joins locations having the same height above the mean se level. The following is a contour plot of geographical region. Contour lines are shown at 25 m intervals in this plot.
Which of the following is the steepest path leaving from P?
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